801777640 has 64 divisors (see below), whose sum is σ = 1852709760. Its totient is φ = 312149760.

The previous prime is 801777629. The next prime is 801777667. The reversal of 801777640 is 46777108.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Sastry number since concatenated with its successor gives a square.

It is a junction number, because it is equal to n+sod(n) for n = 801777593 and 801777602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276277 + ... + 279163.

It is an arithmetic number, because the mean of its divisors is an integer number (28948590).

Almost surely, 2^801777640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926354880).

801777640 is an abundant number, since it is smaller than the sum of its proper divisors (1050932120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801777640 is a wasteful number, since it uses less digits than its factorization.

801777640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 801777640 is about 28315.6783425720. The cubic root of 801777640 is about 929.0048475621.

The spelling of 801777640 in words is "eight hundred one million, seven hundred seventy-seven thousand, six hundred forty".